9.9. Suppose that whether it rains tomorrow depends on past weather conditions only through the past 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. What proportion of days does it rain?

Answered: Image /qna-images/answer/64bebd16-bb90-40db-ac7d-206dd6f93459.jpg

Answered: 9.9. Suppose that whether it rains…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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6. A bus company has 2 shifts. Each bus has 50 seats. If the probability that a passenger does not appear at the bus of turn #1 is 0.02 and the probability that a Passenger does not appear at the bus of turn #2 is 0.03. to. What is the probability that 10 passengers are not presented to the turn of the turn #1 b. What is the probability that 10 passengers are not presented to the turn of the turn #2 c. A bus arrives at the terminal, we do not know whether from turn # 1 or # 2. In this bus I don't know They presented 10 passengers. What is the probability that it is the turn of the turn #1
Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C ?(?)P⁡(A) ?(?)P⁡(B) ?(?)P⁡(C) 0.6 0.4 0.9 What is the probability that the employee is not late for work? (Round to 3 decimal places)
13.) A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails, the whole string will go dark. Each light has probability 0.98 of working for a 3- year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years.
.............. If you have 6 red cards and 8 blue cards in your right hand, but your left hand is empty. Your friend has selected 4 cards without replacement in random and put them in your left hand. Then, he selected a card in random from your left hand. The conditional probability that two red cards and two blue cards were moved from your right hand to your left hand given that the card selected from your left hand is blue is: Select one: a. 0.4632 b. 0.0644 c. 0.3671 d. 0.3974 е. 0.4895
Suppose that each time Bar-bie throws a dart, she has a 3/4 probability of getting a bullseye. If Barbie shoots three darts, what is the probability that she gets a bullseye on at least two of them?
Assume that every patient with a particular type of disease has probability 0.1 of being cured within a week, if the patient is given no treatment for the disease. Ten patients with that type of disease are given a new type of drug. After one week 9 out of 10 patients are cured. What is the probability of at least 9 patients being cured if the drug is assumed to have No curative effects?
Suppose there are exactly three states of weather: sunny, cloudy, or rainy. If it is sunny today, then the probability is 3/4 that it will be sunny tomorrow, 1/8 that it will be cloudy tomorrow, and 1/8 that it will be rainy. If it is cloudy today, then the probability is 1/2 that it will be sunny tomorrow, 1/4 that it will be cloudy tomorrow, and 1/4 that it will be rainy. If it is rainy today, then the probability is 1/4 that it will be sunny tomorrow, 1/2 that it will be cloudy tomorrow, and 1/4 that it will be rainy. cloudy is From this Markov model, for any given day the probability that it will be sunny is rainy is Round your answers to three decimal places. and
Suppose that, on average, the number of car accidents in US are 6 per day (which has 24 hours). i. Determine the probability that at least 4 accidents will occur in 12 hour period. ii. In a two days, if there were 8 car accidents in US, what is the probability that 2 accidents have occurred in the first 12 hours of the two days?

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